Delay-Dependent Robust H∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model - Circuits and Systems

CS > Vol.7 No.11, September 2016

Delay-Dependent Robust H_∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model ()

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DOI: 10.4236/cs.2016.711308 1,331 Downloads 2,340 Views Citations

Author(s)

Arun Kumar Singh, Akshata Tandon, Amit Dhawan

Affiliation(s)

Department of Electronics and Communication Engineering, Motilal Nehru National Institute of Technology, Allahabad, India.

ABSTRACT

This paper considers the problem of delay-dependent robust optimal H_∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be norm-bounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent g-suboptimal state feedback robust H_∞ controllers which guarantees not only the asymptotic stability of the closed-loop system, but also the H_∞ noise attenuation g over all admissible parameter uncertainties is established. Furthermore, a convex optimization problem is formulated to design a delay-dependent state feedback robust optimal H_∞ controller which minimizes the H_∞ noise attenuation g of the closed-loop system. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.

KEYWORDS

2-D Discrete System, General Model, H_∞ Control, Linear Matrix Inequality, State Delays, Uncertain System

Share and Cite:

Singh, A. , Tandon, A. and Dhawan, A. (2016) Delay-Dependent Robust H_∞ Control for Uncertain 2-D Discrete State Delay Systems Described by the General Model. Circuits and Systems, 7, 3645-3669. doi: 10.4236/cs.2016.711308.

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